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Finding the Fourth Proportional to 2,110.46, 3,165.73 and 649.60

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Solution

The fourth proportional to 2,110.46, 3,165.73 and 649.60 is: 974.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.46 : 3,165.73 = 649.60 : x
  2. Step 2: Convert to fraction form
    2,110.46/3,165.73 = 649.60/x
  3. Step 3: Cross multiply
    2,110.46x = 3,165.73 × 649.60
  4. Step 4: Simplify right side
    2,110.46x = 2,056,448.67
  5. Step 5: Solve for x
    x = 2,056,448.67/2,110.46
  6. Step 6: Final answer
    x = 974.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.